Detail publikace

On a Nearly Forgotten Polynomial Result by P. Bohl

ČERMÁK, J. FEDORKOVÁ, L.

Anglický název

On a Nearly Forgotten Polynomial Result by P. Bohl

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

Originální abstrakt

Piers Bohl (1865-1921) was an outstanding Latvian mathematician whose name is particularly connected with several crucial achievements that were ahead of their time. Unfortunately, the contemporary mathematical community did not recognize their significance. This paper discusses one of Bohl's results from 1908 that remained nearly unnoticed, even up until the present. It concerns a general complex trinomial and answers the problem of the distribution of its roots with respect to a given modulus. During the last few decades, this and other related problems have been extensively studied in numerous particular cases, without knowledge of this existing answer. This paper recalls the aforementioned Bohl's result and illustrates how easily it can imply conclusions of recent as well as older works regarding this topic.

Anglický abstrakt

Piers Bohl (1865-1921) was an outstanding Latvian mathematician whose name is particularly connected with several crucial achievements that were ahead of their time. Unfortunately, the contemporary mathematical community did not recognize their significance. This paper discusses one of Bohl's results from 1908 that remained nearly unnoticed, even up until the present. It concerns a general complex trinomial and answers the problem of the distribution of its roots with respect to a given modulus. During the last few decades, this and other related problems have been extensively studied in numerous particular cases, without knowledge of this existing answer. This paper recalls the aforementioned Bohl's result and illustrates how easily it can imply conclusions of recent as well as older works regarding this topic.

Klíčová slova anglicky

Complex trinomial; location of roots

Vydáno

01.02.2023

Nakladatel

Taylor & Francis

Místo

PHILADELPHIA

ISSN

0002-9890

Ročník

130

Číslo

2

Strany od–do

176–181

Počet stran

6

BIBTEX


@article{BUT182861,
  author="Jan {Čermák} and Lucie {Fedorková},
  title="On a Nearly Forgotten Polynomial Result by P. Bohl",
  year="2023",
  volume="130",
  number="2",
  month="February",
  pages="176--181",
  publisher="Taylor & Francis",
  address="PHILADELPHIA",
  issn="0002-9890"
}